{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "73bd968b-d970-4a05-94ef-4e7abf990827",
   "metadata": {},
   "source": [
    "Chapter 05\n",
    "\n",
    "# 平面极坐标\n",
    "Book_3《数学要素》 | 鸢尾花书：从加减乘除到机器学习 (第二版)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8f6e7d02-8ec1-4add-aaa3-0a5c2ef27152",
   "metadata": {},
   "source": [
    "极坐标系是一种用于平面图形的坐标系统，它用一个点到原点的距离（径向距离）和与基准方向的角度来描述点的位置。极坐标系常用于表示具有旋转对称性的曲线，如螺旋线、圆、花瓣图等。极坐标系的两个基本要素是：\n",
    "\n",
    "1. **径向距离 $r$**：从原点（通常称为极点）到某个点的距离。径向距离是非负数，当$r=0$时，点在原点。\n",
    "\n",
    "2. **角度 $\\theta$**：从基准方向到该点的径向线的角度，通常以弧度或角度（度）为单位。极坐标系的基准方向通常是$x$轴的正方向，角度的增加通常为逆时针方向。\n",
    "\n",
    "一个点$(x, y)$在极坐标下可以表示为$(r, \\theta)$，其中$r$和$\\theta$之间的关系由以下公式定义：\n",
    "\n",
    "$$\n",
    "r = \\sqrt{x^2 + y^2}\n",
    "$$\n",
    "$$\n",
    "\\theta = \\arctan\\left(\\frac{y}{x}\\right)\n",
    "$$\n",
    "\n",
    "反之，极坐标$(r, \\theta)$可以转换为笛卡尔坐标$(x, y)$，转换公式为：\n",
    "\n",
    "$$\n",
    "x = r \\cos(\\theta)\n",
    "$$\n",
    "$$\n",
    "y = r \\sin(\\theta)\n",
    "$$\n",
    "\n",
    "在极坐标系中，一些典型的曲线方程如下：\n",
    "\n",
    "- **圆**：当半径$r$为常数时，例如$r = 10$，则曲线是一个圆，且圆心在原点。\n",
    "- **阿基米德螺线**：当$r$与$\\theta$成线性关系时，例如$r = a \\theta$（$a$为常数），随着$\\theta$的增加，$r$也逐渐增大，形成不断扩展的螺旋。\n",
    "- **玫瑰线**：当$r$表示为带有正弦或余弦的周期函数时，例如$r = a \\cos(k \\theta)$（$a$为半径，$k$为瓣数因子），得到的图形会形成多瓣花的形状。这种函数在$\\theta$上有对称性，适合展示花瓣图案。\n",
    "\n",
    "极坐标系在数学和物理学中非常有用，尤其在处理与角度、旋转和对称性相关的问题时。例如，在天文学、波动学、机械设计和其他具有圆形对称特性的应用中，极坐标系为理解和表达这些性质提供了一个直观的框架。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eb04a6f0-8c7e-4b0a-bba2-a7525ae4b7d4",
   "metadata": {},
   "source": [
    "## 导入所需库"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "84042bbe-89f3-4f3e-bb9b-fd367ce50133",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np  # 导入numpy库，用于数值计算\n",
    "import matplotlib.pyplot as plt  # 导入matplotlib库，用于绘图"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5777b708-7c49-44b2-9c13-af3eed5a213d",
   "metadata": {},
   "source": [
    "## 自定义函数 - 绘制极坐标图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "be289ae6-772f-4647-852f-7558c382e5e3",
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_polar(theta, r):  # 定义绘制极坐标图的函数plot_polar，参数为角度theta和半径r\n",
    "    fig, ax = plt.subplots(subplot_kw={'projection': 'polar'})  # 创建极坐标子图\n",
    "    ax.plot(theta, r)  # 绘制极坐标图上的曲线\n",
    "    \n",
    "    ax.set_rmax(20)  # 设置径向轴的最大值为20\n",
    "    ax.set_rticks([5, 10, 15, 20])  # 设置径向轴刻度为5, 10, 15, 20\n",
    "    ax.set_rlabel_position(-45)  # 设置径向标签的位置为-45度\n",
    "    ax.set_thetagrids(np.arange(0.0, 360.0, 45.0))  # 设置角度轴的刻度范围为0到360度，步长为45度\n",
    "    plt.show()  # 显示图形"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fa2841f4-1028-4a27-b7ad-24315e39d910",
   "metadata": {},
   "source": [
    "## 圆形图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "fe5136e8-9d75-480a-92c6-074b0583fe5f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "theta = np.linspace(0, 6 * np.pi, 1000)  # 生成从0到6π的角度数组，共1000个点\n",
    "r = 10 + theta * 0  # 定义半径为常数10\n",
    "plot_polar(theta, r)  # 绘制极坐标上的圆形图"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "261f321e-8899-434b-9ce3-4fe41c375165",
   "metadata": {},
   "source": [
    "## 阿基米德螺线"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "eb9a7646-9eb4-4130-8815-9a39e76fd144",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "r = 1 * theta  # 定义半径随角度线性增加，形成阿基米德螺线\n",
    "plot_polar(theta, r)  # 绘制阿基米德螺线图"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "55e0c595-205f-4f45-91e7-ae19c7d96e08",
   "metadata": {},
   "source": [
    "## 玫瑰线图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "c61b0abe-98c4-4c29-a3eb-3d9b17bd3068",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "r = 10 * np.cos(6 * theta) + 10  # 定义玫瑰线的半径公式：r = 10 * cos(6θ) + 10\n",
    "plot_polar(theta, r)  # 绘制极坐标上的玫瑰线图"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
